数值分析

The calculating results which predict that the tip undercooling decreases continuously with an increase of the primary spacing and no minimum undercooling exists have lent an obvious evidence to the above theoretical analyses. The tip undercooling changes sharply for the low primary spacings but slowly for the large spacings.

本文提出的数值模型表明，Peclet数较小时，可以将强制性枝晶生长处理成自适应边界条件进行数值计算；计算结果充分证实了上述的理论分析，并指出顶部过冷随一次间距的增大而连续减小，不存在最小过冷值；一次间距较小时顶部过冷变化显著，较大时变化缓慢。

On the basis of analyzing pump-jet propulsor, inside flow fields are numerically simulated by using the software FLUENT, on the condition of setting up the physical models and the mathematic models and determining the boundary conditions.

在分析泵喷射推进器的基础上，建立了其数值仿真的物理模型和数学模型，确定了求解的边界条件，利用CFD软件FLUENT对泵喷射推进器的内流场进行了数值仿真。

Simulative results are in good agreement With the analytical solutions and experimental results, and the maximum relative error between simulative particle velocity and experimental velovity is less than 5 percent.

结果表明：数值模拟结果与理论分析及实验结果都符合得较好，其中数值计算得到的各测试点的速度与实验值的最大相对误差小于5%。

At first, on the basis of the combination research methods of analytical theory, numerical simulation and experiment, the mathematical and physical model of certain-length rolling process have been established. Then according to the established model, the menstruation of rolling average friction coefficient is proposed; and then the certain-length rolling process and key parameters are determined.

采用理论研究、数值模拟和实验研究相结合的研究方法，建立定长轧制物理模型和数学模型；基于所建模型，提出了一种测定轧制平均摩擦系数的方法；确定了定长轧制工艺方法和关键参数；分析了影响制件轧制长度的因素；对关键参数进行了数值模拟。

This will make a new approach to research complex and fine structure of flow field inside propulsion, including Interaction between rotor and stator or ship and propulsion, tip clearance-flow and cavitation.

随后，本文针对轴对称体与泵喷推进器组合体的复杂流场进行了数值计算，通过与相近的试验结果的宏观量的对比和分析，表明数值结果具有较好的规律性和合理性。

The numerical foundation of the optimization on the self-excited pulse jet is investigated through the analysis of the simulation results.

通过对数值模拟结果的分析，给出自激喷嘴结构参数的最优数值配比。

C Taking the short-fiber reinforced and inhomogeneity spreaded composite materials as engineering background, singular integal equations of plane problem of interaction between line inclusion and circular inclusion are deduced, and some particular cases are analysed.

以短纤维和颗粒弥散体复合材料为背景，导出了线夹杂与圆夹杂相互作用平面问题的奇异积分方程，并对一些特殊情形作了退化分析，建立了数值法，给出了圆夹杂和线夹杂两侧的界面应力及线夹杂端点的应力强度因子表达式，同时作了具体的数值计算。

Chapter 3 introduces the research contents and the results of the model test about the Xiangjiaba tailrace tunnel with sloping ceiling.

本章根据物理模型的试验条件和试验工况进行相应的数值计算，即在数值计算中，输入的管道、机组特性等参数均为模型试验实测数据，程序根据模型比尺输出原型的计算结果信息，并与原型化后的模型试验数据分析比较。

In order to use numerical predictive products effectively, to enhance the ability of explaining middle-scale numerical predictive (MM5) model, and improe short-term disaster weather forecast, a diagnosis of a heavy snow-storm from Jan. 18 to Jan. 19, 2006 was made with the non-geostrophic wet Q-vector theory.

为了有效利用数值预报产品，提高中尺度数值预报模式MM5的释用能力，做好灾害性天气的预报，引用非地转湿Q矢量理论对2006年1月18-19日宁夏北部一次强降雪过程进行了诊断分析。

In this paper, the structure characteristics of atmospheric boundary layer have been studied over Lanzhou in winter by combining numerical simulation method with analysis of the data which was observed by sounding balloon during the collaborative project "Study on air pollution and countermeasure in Lanzhou" supported by Gansu Government and Chinese Academy of Sciences.

本文利用甘肃省政府和中国科学院的科技合作项目"兰州市大气污染及对策研究"所获得的系留气球探空资料，并且结合数值模拟方法，对兰州市冬季大气边界层温度场特征进行了对比分析，结果表明：在没有特殊天气过程的典型冬季代表性时段，山谷城市兰州逆温边界层结构无论白天或夜间都存在，而且经常出现多层逆温和白天的脱地逆温情况，只有当冷空气过境时，逆温现象才减弱或消失；与观测结果相比较可以看出，数值模拟结果基本上反应了温度场的主要特征。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新